Modular framed vertex operator algebras and Z[1/2]-forms  

作　　者：Chongying Dong Ching Hung Lam Li Ren 

机构地区：[1]Department of Mathematics,University of California,Santa Cruz,Santa Cruz,CA 95064 [2]Institute of Mathematics,Academia Sinica,Taipei 10617,China [3]School of Mathematics,Sichuan University,Chengdu 610064

出　　处：《Science China Mathematics》2025年第4期785-806,共22页中国科学(数学英文版)

基　　金：supported by the Simons Foundation(Grant No.634104);Ching Hung Lam was supported by Ministry of Science and Technology(Grant No.104-2115-M-001-004-MY3);supported by National Natural Science Foundation of China(Grant No.12071314)。

摘　　要：We investigate modular framed vertex operator algebras over an algebraically closed field F whose characteristic is different from 2 and 7.In particular,the rationality of modular framed vertex operator algebras is established.For a modular code vertex operator algebra,the irreducible modules are constructed and classified.Moreover,a Z[1/2]-form for any framed vertex operator algebra over C is constructed.As a result,one can obtain a modular framed vertex operator algebra from any framed vertex operator algebra over C.

关 键 词：framed vertex operator algebras integral forms modular vertex algebras 

分 类 号：O177[理学—数学]